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Finding the Fourth Proportional to 11,134.50, 15,365.64 and 6,166.50

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Solution

The fourth proportional to 11,134.50, 15,365.64 and 6,166.50 is: 8,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.50 : 15,365.64 = 6,166.50 : x
  2. Step 2: Convert to fraction form
    11,134.50/15,365.64 = 6,166.50/x
  3. Step 3: Cross multiply
    11,134.50x = 15,365.64 × 6,166.50
  4. Step 4: Simplify right side
    11,134.50x = 94,752,219.06
  5. Step 5: Solve for x
    x = 94,752,219.06/11,134.50
  6. Step 6: Final answer
    x = 8,509.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.